a-12=3(1-a)-(7-4a)

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Solution for a-12=3(1-a)-(7-4a) equation:


Simplifying
a + -12 = 3(1 + -1a) + -1(7 + -4a)

Reorder the terms:
-12 + a = 3(1 + -1a) + -1(7 + -4a)
-12 + a = (1 * 3 + -1a * 3) + -1(7 + -4a)
-12 + a = (3 + -3a) + -1(7 + -4a)
-12 + a = 3 + -3a + (7 * -1 + -4a * -1)
-12 + a = 3 + -3a + (-7 + 4a)

Reorder the terms:
-12 + a = 3 + -7 + -3a + 4a

Combine like terms: 3 + -7 = -4
-12 + a = -4 + -3a + 4a

Combine like terms: -3a + 4a = 1a
-12 + a = -4 + 1a

Solving
-12 + a = -4 + 1a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
-12 + a + -1a = -4 + 1a + -1a

Combine like terms: a + -1a = 0
-12 + 0 = -4 + 1a + -1a
-12 = -4 + 1a + -1a

Combine like terms: 1a + -1a = 0
-12 = -4 + 0
-12 = -4

Add '12' to each side of the equation.
-12 + 12 = -4 + 12

Combine like terms: -12 + 12 = 0
0 = -4 + 12

Combine like terms: -4 + 12 = 8
0 = 8

Simplifying
0 = 8

Combine like terms: 0 + -8 = -8
-8 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 = 0

The solution to this equation could not be determined.

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